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The extended metamorphosis of a complete bipartite design into a cycle system

2004
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Discrete Mathematics
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A Kt;t-design of order n is an edge-disjoint decomposition of Kn into copies of Kt;t. When t is odd, an extended metamorphosis of a Kt;t-design of order n into a 2t-cycle system of order n is obtained by taking (t − 1)=2 edge-disjoint cycles of length 2t from each Kt;t block, and rearranging all the remaining 1-factors in each Kt;t block into further 2t-cycles. The 'extended' refers to the fact that as many subgraphs isomorphic to a 2t-cycle as possible are removed from each Kt;t block, rather

doi:10.1016/j.disc.2003.11.025
fatcat:5ie4pvz6wvcqdflujx6j36jjou